논문KCI 등재
Revisit nonlinear differential equations associated with Eulerian polynomials
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참고문헌
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초록
In this paper, we present nonlinear differential equations arising from the generating function of the Eulerian polynomials. In addition, we give explicit formulae for the Eulerian polynomials which are derived from our nonlinear differential equations.
Abstract
In this paper, we present nonlinear differential equations arising from the generating function of the Eulerian polynomials. In addition, we give explicit formulae for the Eulerian polynomials which are derived from our nonlinear differential equations.
참고문헌 (19)
- P. Barry, "General Eulerian polynomials as moments using exponential Riordan arrays", J. Integer Seq, 16(9), pp.15~ (2013)
- A. Bayad, "Higher recurrences for Apostol-Bernoulli-Euler numbers", Russ. J. Math. Phys, 19(1), pp.1~10 (2012)
- L. Carlitz, "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)
- L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
- M. Domokos, "Eulerian polynomial identities and algebras satisfying a standard identity", J. Algebra, 169(3), pp.913~928 (1994)
- Y. He, "New symmetric identities involving the Eulerian polynomials", J. Comput. Anal. Appl, 17(3), pp.498~504 (2014)
- F. Hirzebruch, "Eulerian polynomials", M¨unster J. Math, 1, pp.9~14 (2008)
- 강동진, "A note on the Bernoulli polynomials arising from a non-linear differential equation", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(1), pp.37~43 (2013), 장전수학회
- 김대산, "A note on q-Eulerian polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(4), pp.445~450 (2013), 장전수학회
- 김대산, "SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION", 대한수학회보, 52(6), pp.2001~2010 (2015), 대한수학회
- D. S. Kim, "A note on Eulerian polynomials", Abstr. Appl. Anal, 2012, pp.10~ (2012)
- 김대산, "A note on Eulerian polynomials associated with Bernoulli and Euler numbers and polynomials", Advanced Studies in Contemporary Mathematics, 22(3), pp.379~389 (2012), 장전수학회
- D.S. Kim, "p-adic q-integral on Zp associated with Frobenius-type Eulerian polynomials and umbral calculus", Advanced Studies in Contemporary Mathematics, 23(2), pp.243~252 (2013), 장전수학회
- T. Kim, "Identities involving degenerate Euler numbers and polynomials arising from nonlinear differential equations", J. Nonlinear Sci. Appl, 9(5), pp.2086~2098 (2016)
- T. Kim, "A note on nonlinear Changhee differential equations", Russ. J. Math. Phys, 23(1), pp.88~92 (2016)
- T. Kim, "Some identities of Frobenius-type Eulerian polynomials arising from umbral calculus", Int. J. Math. Anal. (Ruse), 7(53-56), pp.2637~2644 (2013)
- T. Kim, "Umbral calculus associated with Frobenius-type Eulerian poly-nomials", Russ. J. Math. Phys, 21(4), pp.484~493 (2014)
- P. N. Rai, "On the generalization of Eulerian polynomials", Bull. Calcutta Math. Soc, 72(4), pp.229~232 (1980)
- 임석훈, "Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation", Kyungpook Mathematical Journal, 53(4), pp.553~563 (2013), 경북대학교 자연과학대학 수학과[DOI]
관련 논문AI추천
Some Identities Involving Euler Polynomials Arising from a Non-linear Differential Equation김태균, 박진우, 임석훈, 정주희경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제4호Some identities of partially degenerate touchard polynomials arising from differential equations김대산, 김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제2호A note on degenerate Eulerian numbers and polynomials김대산, 김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호DIFFERENTIAL EQUATIONS ARISING FROM STIRLING POLYNOMIALS AND APPLICATIONS권혁인, 김대산, 김태균, 서종진, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2016 · 제19권 제2호Some identities of ordered Bell numbers arising from differential equation김태균, 장관우장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호Some identities of central Fubini polynomials arising from nonlinear differential equation김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제2호
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